code: def test_cbsc002_callbacks_generating_children(dash_duo):
      """Modify the DOM tree by adding new components in the callbacks."""
  
      # some components don't exist in the initial render
      app = Dash(__name__, suppress_callback_exceptions=True)
      app.layout = html.Div(
          [
              dcc.Input(id="input", value="initial value"),
              html.Div(id="output"),
          ]
      )
  
      @app.callback(
          Output("output", "children"), [Input("input", "value")]
      )
      def pad_output(input):
          return html.Div(
              [
                  dcc.Input(
                      id="sub-input-1", value="sub input initial value"
                  ),
                  html.Div(id="sub-output-1"),
              ]
          )
  
      call_count = Value("i", 0)
  
      @app.callback(
          Output("sub-output-1", "children"),
          [Input("sub-input-1", "value")],
      )
      def update_input(value):
          call_count.value += 1
          return value
  
      dash_duo.start_server(app)
  
      dash_duo.wait_for_text_to_equal(
          "#sub-output-1", "sub input initial value"
      )
  
      assert call_count.value == 1, "called once at initial stage"
  
      pad_input, pad_div = dash_duo.dash_innerhtml_dom.select_one(
          "#output > div"
      ).contents
  
      assert (
          pad_input.attrs["value"] == "sub input initial value"
          and pad_input.attrs["id"] == "sub-input-1"
      )
      assert pad_input.name == "input"
  
      assert (
          pad_div.text == pad_input.attrs["value"]
          and pad_div.get("id") == "sub-output-1"
      ), "the sub-output-1 content reflects to sub-input-1 value"
  
      paths = dash_duo.redux_state_paths
      assert paths["objs"] == {}
      assert paths["strs"] == {
          "input": ["props", "children", 0],
          "output": ["props", "children", 1],
          "sub-input-1": [
              "props",
              "children",
              1,
              "props",
              "children",
              "props",
              "children",
              0,
          ],
          "sub-output-1": [
              "props",
              "children",
              1,
              "props",
              "children",
              "props",
              "children",
              1,
          ],
      }, "the paths should include these new output IDs"
  
      # editing the input should modify the sub output
      dash_duo.find_element("#sub-input-1").send_keys("deadbeef")
  
      # the total updates is initial one + the text input changes
      dash_duo.wait_for_text_to_equal(
          "#sub-output-1", pad_input.attrs["value"] + "deadbeef"
      )
  
      assert not dash_duo.redux_state_is_loading, "loadingMap is empty"
  
      assert dash_duo.get_logs() == [], "console is clean"
  
imports: import json
  import os
  from multiprocessing import Lock, Value
  import pytest
  import time
  import numpy
  import werkzeug
  from dash_test_components import AsyncComponent, CollapseComponent, DelayedEventComponent, FragmentComponent
  from dash import Dash, Input, Output, State, html, dcc, dash_table, no_update, callback_context
  from dash.exceptions import PreventUpdate
  from tests.integration.utils import json_engine
label_desc: Use image node_id 2 for calling a global function with example usage: test_cbsc002_callbacks_generating_children(dash_duo) and returns: html, value